MATH643

Dynamical Systems II

Entropy theory, variational principle for the entropy, expansiveness, measures with maximal entropy. Smooth systems on manifolds, diffeomorphisms and flows, periodic points, stable and unstable manifolds, homoclinic points, transversality, the Krupka-Smale theorem, Morse-Smale systems. Hyperbolicity, Anosov systems, distributions and foliations, strange attractors, Bowen's measure.

Past Semesters

Bassam Fayad

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Dmitry Dolgopyat

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Vadim Kaloshin

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Rodrigo Trevino

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Include P/F semesters During the Spring 2020 and Spring 2021 semesters, students could choose to take some of their courses pass-fail mid-semester which skews grade data aggregated across multiple semesters.

Average GPA of 3.75 between 14 students*

A-: 7.14%

A: 57.14%

B+: 7.14%

C+: 7.14%

other: 21.43%

* "W"s are considered to be 0.0 quality points. "Other" grades are not factored into GPA calculation. Grade data not guaranteed to be correct.